Search a number
-
+
26064192 = 2637114143
BaseRepresentation
bin110001101101…
…1010101000000
31211001012100110
41203123111000
523133023232
62330351320
7434353620
oct143332500
954035313
1026064192
1113792460
12888b540
1355276cb
143666880
15244cacc
hex18db540

26064192 has 224 divisors, whose sum is σ = 90123264. Its totient is φ = 6451200.

The previous prime is 26064187. The next prime is 26064193. The reversal of 26064192 is 29146062.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×260641922 = 1358684209225728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26064193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606123 + ... + 606165.

It is an arithmetic number, because the mean of its divisors is an integer number (402336).

Almost surely, 226064192 is an apocalyptic number.

26064192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45061632).

26064192 is an abundant number, since it is smaller than the sum of its proper divisors (64059072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26064192 is a wasteful number, since it uses less digits than its factorization.

26064192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 26064192 is about 5105.3101766690. The cubic root of 26064192 is about 296.4932122998.

The spelling of 26064192 in words is "twenty-six million, sixty-four thousand, one hundred ninety-two".